1. Using the Product Rule of Exponents, we can simplify 6^10 x 6^5 as 6^(10+5) = 6^15.
2. To find the numerical equivalent of 8^9 x 8^-6, we can use the Product Rule of Exponents and simplify it as 8^(9+(-6)) = 8^3. Thus, the numerical equivalent is 512.
3. To find the value of x in the equation 5^x ÷ 5^5 = 5^12, we can use the Quotient Rule of Exponents and simplify it as 5^(x-5) = 5^12. Since the bases are the same, we can equate the exponents and solve for x. Therefore, x - 5 = 12, and solving for x gives us x = 17.
4. Using the Power Rule of Exponents, we can simplify (9^3)^6 as 9^(3*6) = 9^18.
5. To generate equivalent expressions for (6^-3)^7 x 6^20 / 6^-2, we can use the Product and Quotient Rules of Exponents. Simplifying, we have (6^(-3*7)) x 6^20 / 6^(-2) = 6^-21 x 6^20 / 6^-2. Applying the Quotient Rule, we get 6^(-21+20) / 6^-2 = 6^-1 / 6^-2. Using the Quotient Rule again, we have 6^-1 x 6^2 = 6^(2-1) = 6^1. Thus, the equivalent expression is 6^1, which simplifies to 6.
Use the Product Rule of Exponents to simplify
1. Use the Product Rule of Exponents to simplify 6^10 x 6^5 (put answer in exponent form)
2. Find the numerical equivalent of 8^9 x 8^-6
3. Find the value of x to make this exponential equation true…
5^x ÷ 5^5 = 5^12
4. Use the Power Rule of Exponents to simplify (9^3)^6—answer in exponent form.
5. Apply the Properties of Integer Exponents to generate equivalent expressions to
(6^-3)^7 x 6^20
━━━━━━━━ answer as an improper fraction. (this is a fraction problem..numerator above the line and denominator below it)
6^-2
1 answer
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